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Create a list of steps, in order, that will solve the following equation.

3(x+2)^(2)=48
Solution steps:







Add 2 to


both sides









Divide both


sides by 3









Multiply both


sides by 3









Subtract 2


from both


sides









dots
Square both sides
Take the square root of both sides

Create a list of steps, in order, that will solve the following equation.\newline3(x+2)2=48 3(x+2)^{2}=48 \newlineSolution steps:\newline\begin{tabular}{|c|}\newline\hline \begin{tabular}{c} \newlineAdd 22 to \\\newlineboth sides\newline\end{tabular} \\\newline\hline \begin{tabular}{c} \newlineDivide both \\\newlinesides by 33\newline\end{tabular} \\\newline\hline \begin{tabular}{c} \newlineMultiply both \\\newlinesides by 33\newline\end{tabular} \\\newline\hline \begin{tabular}{c} \newlineSubtract 22 \\\newlinefrom both \\\newlinesides\newline\end{tabular} \\\newline\hline\newline\end{tabular}\newline \ldots \newlineSquare both sides\newlineTake the square root of both sides

Full solution

Q. Create a list of steps, in order, that will solve the following equation.\newline3(x+2)2=48 3(x+2)^{2}=48 \newlineSolution steps:\newline\begin{tabular}{|c|}\newline\hline \begin{tabular}{c} \newlineAdd 22 to \\\newlineboth sides\newline\end{tabular} \\\newline\hline \begin{tabular}{c} \newlineDivide both \\\newlinesides by 33\newline\end{tabular} \\\newline\hline \begin{tabular}{c} \newlineMultiply both \\\newlinesides by 33\newline\end{tabular} \\\newline\hline \begin{tabular}{c} \newlineSubtract 22 \\\newlinefrom both \\\newlinesides\newline\end{tabular} \\\newline\hline\newline\end{tabular}\newline \ldots \newlineSquare both sides\newlineTake the square root of both sides
  1. Divide by 33: Divide both sides by 33 to isolate the squared term; 3(x+2)2=483(x+2)^2 = 48 becomes (x+2)2=16(x+2)^2 = 16
  2. Take square root: Take the square root of both sides to solve for x+2x+2; (x+2)2=16\sqrt{(x+2)^2} = \sqrt{16} gives us x+2=±4x+2 = \pm 4
  3. Subtract 22: Subtract 22 from both sides to solve for xx; x+22=±42x+2 - 2 = \pm4 - 2 results in x=±42x = \pm4 - 2

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